| Smooth格和强Smooth格 |
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| 引用本文： | 姚丽娟,徐晓泉.Smooth格和强Smooth格[J].模糊系统与数学,2009,23(2). |
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| 作者姓名： | 姚丽娟 徐晓泉 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022 |
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| 基金项目： | 国家自然科学基金，高等学校全国优秀博士学位论文作者专项基金，江西省自然科学基金，江西师范大学博士基金 |
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| 摘 要： | 引入了强smooth格的概念,讨论了smooth格与强smooth格的一些基本性质,证明了强smooth格可用保任意交和Scott闭集之并的映射嵌入到某方体0,1]X之中.
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| 关 键 词： | smooth格 强smooth格 smooth同态 嵌入 |
Smooth Lattices and Strongly Smooth Lattices |
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| YAO Li-Juan,XU Xiao-quan.Smooth Lattices and Strongly Smooth Lattices[J].Fuzzy Systems and Mathematics,2009,23(2). |
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| Authors: | YAO Li-Juan XU Xiao-quan |
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| Institution: | College of Mathematics and Information Science;Jiangxi Normal University;Nanchang 330022;China |
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| Abstract: | The concept of strongly smooth lattices is introduced.Some basic properties of smooth lattics and strongly smooth lattices are investigated.It is proved that a strong smooth lattice can be embedded in X by a mapping which preserve arbitrary infs and Scott closed set sups. |
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| Keywords: | Smooth Lattice Strongly Smooth Lattice Smooth Homomorphism Embedding |
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